Representation of Lie algebra \(\tau_{3}\) and 2-variable 2-parameter Bessel functions
type: Item
instance of: scholarly article
title: Representation of Lie algebra \(\tau_{3}\) and 2-variable 2-parameter Bessel functions
zbMATH Open document ID: 1104.33007
author: Ghazala Yasmin
author: Archana Mittal
author: Subuhi Khan
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-01-09T00:00:00Z
review text: The authors study generalized Bessel functions in two variables depending on two parameters. These Bessel functions were introduced by Dattoli and Torre and are defined as discrete convolutions of classical one-dimensional Bessel functions by summing over the integral indices. In particular, connections to representations of the Lie algebra \({\mathcal T}_3\) are given.
reviewed by: Michael Voit
Mathematics Subject Classification ID: 33C50
Mathematics Subject Classification ID: 33C80
zbMATH DE Number: 5083581
zbMATH Keywords: Bessel functions in two varaibles
zbMATH Keywords: generating functions
zbMATH Keywords: representations of Lie algebras
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.03.014
OpenAlex ID: W1999429757
Wikidata QID: Q115346280
cites work: Q5285585
cites work: Generating functions of multivariable generalized Bessel functions and Jacobi-elliptic functions
cites work: Theory of two-index Bessel functions and applications to physical problems
cites work: Q5824493
cites work: Q5734920
cites work: Harmonic oscillator group and Laguerre 2D polynomials.
cites work: Certain properties of some special functions of two variables and two indicesspecial functions of two variables and two indices
cites work: Lie-theoretic generating relations of Hermite 2D polynomials
cites work: Lie-theoretic generating relations of two variable Laguerre polynomials
cites work: Lie theory and special functions
cites work: Generating Functions for Bessel and Related Polynomials
cites work: Q3231368
cites work: Q5559954
cites work: Q3334413
cites work: Generating Functions for Bessel Functions
DOI: 10.1016/J.JMAA.2006.03.014
description: scientific article; zbMATH DE number 5083581